At the beginning of the Long Night, there was a small surge of names having to do with the sun, day time, or light, but humans quickly found that people with these names tended to be identified as troublemakers, hunted out, and removed from circulation by the local vampires. This caused a waning of enthusiasm among all but the most rebellious. 'Ray,' however (for both men and women) remained a favorite covert sign of resistance.
As the Long Night progressed, two notable trends emerged. The first was names given out of bitterness and despair, rather than affirmation. 'Delores' (and variants, like 'Dolores') had a renewed popularity, along with any number of names from any number of languages having to do with pain, misery, death, hopelessness, or defeat [e.g. Deirdre, Lastima, Misery]. The second was a resurgence of /old/ names, presumably in a conscious or unconscious desparate attempt to align one's children with the Antediluvians and the power that comes from age [e.g. anything from any major mythology/religion fits here].
In the year the new moon was called into being and for a few years afterward, there was a global wave of Liliths, even including a few possibly unfortunate boys.
Among kinfolk, and to a lesser extent among humans, the names of animals associated with shifters (and also some references to the shifters themselves - there were no small number of 'Crinos Smith's in the later years of the Night) became very popular, along with references to the moon, and the other symbols of shifters' power.
After the sun's return, there was an enormous return to light- and sun-based names - an entire generation of 'Lumia's, 'Helios's, 'Luz's, 'Dawn's, 'Lucy's, and so forth. The one thing, children were named after members of the previous generation, perpetuating the names), but the children of people named for despair were usually given directly opposite names in an excess of optimistic symbolism.